3146580864000 has 2112 divisors, whose sum is σ = 14337291496320. Its totient is φ = 676292198400.

The previous prime is 3146580863819. The next prime is 3146580864013. The reversal of 3146580864000 is 4680856413.

3146580864000 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 580 + 8 + 64 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3146580864000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2878847454 + ... + 2878848546.

Almost surely, 2^{3146580864000} is an apocalyptic number.

3146580864000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146580864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168645748160).

3146580864000 is an abundant number, since it is smaller than the sum of its proper divisors (11190710632320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3146580864000 is a wasteful number, since it uses less digits than its factorization.

3146580864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3146580864000 in words is "three trillion, one hundred forty-six billion, five hundred eighty million, eight hundred sixty-four thousand".